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Finding the Fourth Proportional to 17,704.96, 24,437.00 and 10,151.15

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Solution

The fourth proportional to 17,704.96, 24,437.00 and 10,151.15 is: 14,010.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.96 : 24,437.00 = 10,151.15 : x
  2. Step 2: Convert to fraction form
    17,704.96/24,437.00 = 10,151.15/x
  3. Step 3: Cross multiply
    17,704.96x = 24,437.00 × 10,151.15
  4. Step 4: Simplify right side
    17,704.96x = 248,063,784.84
  5. Step 5: Solve for x
    x = 248,063,784.84/17,704.96
  6. Step 6: Final answer
    x = 14,010.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.